Divya deposited Rs 1000 at compound interest at the rate of 10% per an

1.	Divya deposited Rs 1000 at compound interest at the rate of 10% per annum. The amounts at the end of first year, second year, third year, ..., form an AP. Justify your answer.
Answer» Amount at the end of the 1st year = Rs 1100 Amount at the end of the 2nd year = Rs 1210 Amount at the end of 3rd year = Rs 1331 and so on. So, the amount (in Rs) at the end of 1st year, 2nd year, 3rd year, ... are 1100, 1210, 1331, ... Here, a₂ – a₁ = 110 a₃ – a₂ = 121 As, a₂ – a₁ ≠ a₃ – a₂ , it does not form an AP.

Divya deposited Rs 1000 at compound interest at the rate of 10% per annum. The amounts at the end of first year, second year, third year, ..., form an AP. Justify your answer.

Answer»

Amount at the end of the 1st year = Rs 1100

Amount at the end of the 2nd year = Rs 1210

Amount at the end of 3rd year = Rs 1331 and so on.

So, the amount (in Rs) at the end of 1st year, 2nd year, 3rd year, ... are

1100, 1210, 1331, ...

Here, a₂ – a₁ = 110

a₃ – a₂ = 121

As, a₂ – a₁ ≠ a₃ – a₂ , it does not form an AP.